2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61094We extend projectively equivariant quantization and symbol calculus to symbols of pseudo-differential operators. An explicit expression in terms of hypergeometric functions with noncommutative arguments is given. Some examples are worked out, one of them yielding a quantum length element on $S^3$.9 pages, LaTeXQuantum AlgebraDifferential GeometryProjectively equivariant quantization and symbol calculus: noncommutative hypergeometric functionstext